Download N.4 - DPS ARE

Algebra 1: Arithmetic with Polynomials and
Rational Expressions – A-APR
ELG.MA.HS.A.3: Perform arithmetic operations on
polynomials.
 A-APR.A.1 Understand that polynomials form a
system analogous to the integers, namely, they
are closed under the operations of addition,
subtraction, and multiplication; add, subtract,
and multiply polynomials.
The Complex Number System – N-CN
ELG.MA.HS.N.4: Perform arithmetic operations with
complex numbers.
 N-CN.A.3 (+) Find the conjugate of a complex
number; use conjugates to find moduli and
quotients of complex numbers.
Algebra 2: The Complex Number System – N-CN
ELG.MA.HS.N.4: Perform arithmetic operations
with complex numbers.
 N-CN.A.1 Know there is a complex number i
such that i2 = –1, and every complex number
has the form a + bi with a and b real.
 N-CN.A.2 Use the relation i2 = –1 and the
commutative, associative, and distributive
properties to add, subtract, and multiply
complex numbers.
Students will demonstrate command of the ELG by:
 Finding the conjugate of a given a complex number.
 Given a complex number division, expressing the result as a complex number of the form a+bi.
Vocabulary:
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Complex number
Conjugate
Moduli
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Polar form
Quotient
Sample Assessment Questions:
1) Standard(s):
N-CN.A.3
Source: Pamela Parella
Item Prompt: Find the complex conjugate of 𝑧1 = 2𝑖 + 3
Correct Answer: 𝑧1 = −2𝑖 + 3
2) Standard(s):
N-CN.A.3
Source: https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers/complex-conjugates-and-dividing-complexnumbers/e/find-conjugates-of-complex-numbers
Item Prompt:
Correct Answer: